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3486981312 = 2634672643
BaseRepresentation
bin1100111111010111…
…0001110011000000
3100000000101000010000
43033311301303000
524120131400222
61334002040000
7152260565163
oct31765616300
910000330100
103486981312
11152a345741
12813949000
1343755ba69
1425116dada
151561d99ac
hexcfd71cc0

3486981312 has 70 divisors (see below), whose sum is σ = 10336520348. Its totient is φ = 1162325376.

The previous prime is 3486981301. The next prime is 3486981313. The reversal of 3486981312 is 2131896843.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3486981313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331138 + ... + 341505.

Almost surely, 23486981312 is an apocalyptic number.

3486981312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3486981312 is an abundant number, since it is smaller than the sum of its proper divisors (6849539036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3486981312 is an equidigital number, since it uses as much as digits as its factorization.

3486981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672667 (or 672648 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3486981312 is about 59050.6673289981. The cubic root of 3486981312 is about 1516.4096515954.

The spelling of 3486981312 in words is "three billion, four hundred eighty-six million, nine hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 672643 1345286 2017929 2690572 4035858 5381144 6053787 8071716 10762288 12107574 16143432 18161361 21524576 24215148 32286864 36322722 43049152 48430296 54484083 64573728 72645444 96860592 108968166 129147456 145290888 193721184 217936332 290581776 387442368 435872664 581163552 871745328 1162327104 1743490656 3486981312